[math-fun] Another variant of the muffin problem

Define N(m,s) as *the minimum number of pieces* necessary to distribute m/s muffins to each of s students, starting from m whole muffins. Is N(m,s) easy to determine? —Dan Jim Propp wrote: ----- ... the original muffin problem, f(m,s) (defined as the maximum possible size of the smallest piece among all ways of distributing m muffins among s students) ... -----